Summary of Saturday's Lesson (27/04/2024) with Hudson: For Saturday's lesson, we went over some content that was related to Linear Relations, namely Solving Linear Equations. We followed the content of this subtopic out of Essential Mathematics for the Australian Curriculum as I felt this would be a good introduction for his learning of mathematics for next year. We began the lesson by going through the learning intentions and key ideas first. We then moved onto the building understanding section, went through Example 11 and 12 together and attempted the given questions.Once this was done, we then moved onto Exercise 1D and attempted a number of questions chosen at random. These questions were: Q6 a), c), e), g) and Q12 a) - c). Once we finished these given questions, I decided to end the lesson at that point. Learning Strategies demonstrated: - Pen & Paper - this strategy was demonstrated quite well by Hudson during this given lesson. All the questions we attempted were neatly written down in his notebook with accompanying steps highlighting how each question/s was to be evaluated. I feel Hudson's consistently utilising this strategy quite well during each lesson we have together, - Talking Aloud - This strategy was also demonstrated quite well by Hudson during Saturday's lesson. I encouraged Hudson a number of times during the lesson to talk aloud the different questions we attempted and to explain in his own words how they were to be evaluated. I feel Hudson did really well using this strategy. A lot of the answers he gave to the questions attempted were correct. I was very happy about that. - Back-checking - this strategy was utilised by Hudson on the last question we attempted for this lesson. It involved determining the amount of fuel for a petrol tank after given time periods. Initially, Hudson gave the wrong answers for this question but I felt to go through this question with himself again and we eventually found where specific mistakes were made that gave the wrong answers in the first place. By doing this question a second time, we were able to find the correct responses as given in the back of the text we were using. It was another good lesson with Hudson I feel. Keep up the good work, Hudson.

There's always room for improvement in regards to Hudson's learning. I do feel he had a good understanding of this subtopic on Saturday. I would love to see Hudson consistently build on this learning he's shown so far. I would encourage Hudson to go over any past concepts in this topic of linear relations again to further add to his current understanding of linear relations. There's nothing wrong in doing this, it helps to reinforce concepts better and he's able to them straight away in a given test/exam scenario. Other than that, I'm very pleased with how Hudson is progressing with maths.

Summary of Friday's Lesson (19/04/2024) with Zack: For Friday's lesson, we continued on with the topic of Chapter 3: Number Patterns and Sequences by moving from 3b: Arithmetic Sequences and Recurrence Relations to 3C: Arithmetic Recursion Applications. We mainly focused on modelling flat rate depreciation using recurrence relations as the concepts of modelling simple interest investments and unit cost depreciation using recurrence relations was taught to Zack at school last week. There were a few ideas with this section of this subtopic that Zack was unsure of. I was able to explain in simple detail how it related to arithmetic recurrence relations. Once this was done, we then moved on to the 3C questions and attempted Q14 and Q16 these were the only questions that Zack had yet to attempt from the set questions given by his teacher from school. We took our time with these questions as they were very long questions. Once these questions were completed, we had a chat about what we would go over for next week's lesson and then concluded things. Learning Strategies Demonstrated: - Seeking Understanding - This strategy was demonstrated well by Zack during Friday's session. He asked a number of good questions related to the content we went through as he felt he didn't really understand it that well and just wanted a bit of clarification in comparison to other concepts that involved rates. I was able to explain what everything meant in clear concise detail. e.g. what a flat rate depreciation meant vs. normal rates related to simple and compound interest. - Pen and Paper - This strategy was also demonstrated well by Zack on Friday. All the questions we attempted were neatly written down in his notebook with a good logical order of how each was to be evaluated. I really feel Zack' s using this strategy each week quite well to his own benefit. Overall, it was another good lesson with Zack.

Zack's really showing excellent signs of improvement with this topic of number patterns and sequences. He's really making a good concerted effort to understand everything that we go through with this topic and isn't afraid to ask questions when he feels he isn't understanding specific concepts/ideas correctly. That's really good to see. I am really noticing a lot that Zack consistently builds upon his understanding and learning from week to week. Thats good to observe. Keep doing this Zack, you're only going get better and better with maths as you continue to do this. Well done for Friday, Zack and keep up the good work.

Summary of Yesterday's Lesson (12/04/2024) with Zac: For yesterday's lesson, we covered the topic of 3B: Arithmetic Sequences and Recurrence Relations. I really felt this was a very needful lesson for Zac yesterday, as he commented that he really didn't understand the maths that he had been given here. So we started off the lesson by going through the main concepts/ideas behind this subtopic. They were: Generating a sequence from a recurrence relation, Interpreting an Arithmetic recurrence relation and Constructing an arithmetic recurrence relation. As we worked our way through these given concepts/ideas, we made an effort to attempt together the worked examples given in this section. Once this was completed, we then moved onto Exercise 3B and attempted the first 7 questions given. This took us to the conclusion of the lesson. Learning Strategies demonstrated: - Pen and Paper - This strategy was well demonstrated by Zac yesterday. All the questions we attempted together were written very neatly in his notebook and laid out in a good logical order with all workings shown. - Seeking Understanding - This strategy was also well demonstrated yesterday. There were moments during the lesson where Zac has a question or two about a given concept related to this subtopic. I was able to explain in clear and concise detail what it meant and if needed. refer him back to the main ideas/concepts of this subtopic so he could get a better idea of what really needed to be known.

I'm very happy with how Zac has been improving over the last few weeks with maths. He's really making an excellent effort to understand all that we go through in a given lesson and consistently attempts all the homework he gets given by myself. We've only just started this new topic in the last day or so, so we'll see how things go with this.

Summary for Yesterday's Lesson (15/03/2024) with Zack: For yesterday's lesson, we continued with the topic of Financial Arithmetic by moving on from 2C: Inflation to 2D: The Unitary Method And It's Applications. We started off the lesson by going through the main concepts behind this subtopic of financial arithmetic, namely Using The Unitary Method and Using the Unitary Method to Calculate Percentages. Once this was done, we then moved onto Exercise 2D and attempted a number of questions that had been preset for Zack from school. Such questions attempted were: Q1, Q2 a) - d), Q3 a) - d), Q4, Q5 and Q14 which was a question that dealt with using the unitary method to calculate a percentage for an item that had been discounted. We only got one incorrect answer for all these questions attempted. Zack was very consistent and engaged with all that we got through in regards to the given content. Overall, it was another good lesson. Learning Strategies demonstrated: Back-Checking – This strategy was demonstrated in regards to the question we got wrong. It was in regards to calculating the value of a paycheck from a given salary that had been paid fortnightly for a given individual. We initially had put down the wrong total value, hence we obtained the incorrect answer. Once we went through the question again together, we gave the correct pay packet and were able to correctly calculate the correct value of a single unit for this individual in this given question. Seeking Understanding – This strategy was well demonstrated yesterday by Zack. He didn't have too much questions that asked but when he did I was able to refer himself back to the main concepts of this subtopic and how they were to be applied to each question we attempted. Pen and Paper – This strategy was also well demonstrated yesterday. I feel Zack's taken on board this strategy quite well. He's consistently using this strategy well each lesson we have together.

I really don't have much to say here. I will encourage Zack to just read ahead on 2E: Purchase Options for the coming week. I will also ask Zack to attempt a few more questions out of Exercise 2D in the coming week as I feel it will help reinforce the concepts we went through yesterday together. I'm very pleased with how Zack's progressing from week to week. He's consistently building upon his understanding of maths and applying it well to the different questions we attempt from lesson to lesson. Keep up the excellent work, Zack and just keep doing what you're doing. It's showing forth the results I'm sure your parents want to see.